Answer:
51/10 and 11/6
Step-by-step explanation:
10x - 51 = 0
10x = 51
x = 51/10
6x - 11 = 0
6x = 11
x = 11/6
Answer:
x=18√6 , y=36√2
Step-by-step explanation:

As shown in the figure, we have two straight line. One of them has a negative slope and the other has a positive one. In two dimensions, the equation for non-vertical lines is often given in the slope-intercept form by:

being m the slope of the line and <span>b the y-intercept of it.
On the other hand, if x = 0 then y = b.
First of all we will order the equations above without </span>inequalities<span> like this:
A. </span>

,

<span>
B. </span>

,
C. 
,
D. 
,

<span>
As shown in the figure b = -1 for one straight and b = 4 for the second one. This values take place when x = 0. So, we discard C and D, because if x = 0, then:
</span>
For C, b = 1 and b = 4
For D, b = -1 and b = -4
Let's analyze A and B. So:
For A, m = 5 and m = 3
For B, m = 5 and m = -3
Therefore, we discard A because of the statement above.
Finally the answer is B. So, the inequalities are:
(1)

(2)

Let's prove this answer. We will take the point (2, 0) that is in the region in gray. So, substituting this point in the inequalities, we have:
(1)

(2)

In fact, this is true.
Answer:
56.31 degrees
Step-by-step explanation:
6 = opposite and 4 = adjacent
Tan = opposite over adjacent
Tan(theta)=6/4
=56.30993247